A study of the critical minima and spin polarization in the elastic electron scattering by the lead atom

A. K.F. Haque, M. M. Haque*, M. Sohag Hossain, M. Ismail Hossain, M. Atiqur R. Patoary, M. Maaza, A. K. Basak, B. C. Saha, M. Alfaz Uddin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


A complex optical potential, in the framework of Dirac partial wave analysis, is employed to study the minima in the differential cross sections (DCSs) and the spin polarization due to the elastic scattering of electron by Pb atom. In addition, integral, momentum-transfer, absorption, viscosity and total cross sections are also reported for the energy region 6 eV ≤ Ei ≤10 keV. This complex optical potential comprises the static, exchange, polarization and absorption components. We obtain, in total, 12 critical minima (CM) positions, where DCS attains its smallest values and 22 points with of the maximum values of spin polarization (MSP). CM and MSP are found to be correlated in terms of Ei and scattering angles where the spin-flip amplitude overrides the magnitude of their direct counterpart. As per as we know, there is neither any experimental nor any theoretical study on CM of e-Pb scattering available in the literature. A detailed comparison shows a good agreement between our predicted results with the available experimental and other theoretical findings.

Original languageEnglish
Article number125013
JournalJournal of Physics Communications
Issue number12
StatePublished - Dec 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 The Author(s). Published by IOP Publishing Ltd.


  • Critical minima and spin polarization
  • Dirac partial wave analysis
  • Elastic scattering
  • Optical potential

ASJC Scopus subject areas

  • General Physics and Astronomy


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